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On Supersolvable Groups and a Theorem of Huppert
Published online by Cambridge University Press: 20 November 2018
Abstract
We obtain the following generalization of a well known result of Huppert. If p is the largest primer divisor of the order of a finite group G and q is any prime distinct from p, then G is supersolvable if and only if every maximal subgroup whose index is relatively prime to either p or q, has prime index.
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- Copyright © Canadian Mathematical Society 1990
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